Part 6

Separately, however, he forbade the most contemplative of philosophers, and who have arrived at the summit of philosophic attainments, the use of superfluous and unjust food, and ordered them never to eat any thing animated, nor in short, to drink wine, nor to sacrifice animals to the Gods, nor by any means to injure animals, but to preserve most solicitously justice towards them. And he himself lived after this manner, abstaining from animal food, and adoring altars undefiled with blood. He was likewise careful in preventing others from destroying animals that are of a kindred nature with us, and rather corrected and instructed savage animals through words and deeds, than injured them through punishment. And farther still, he also injoined those politicians that were legislators to abstain from animals. For as they wished to act in the highest degree justly, it is certainly necessary that they should not injure any kindred animal. Since, how could they persuade others to act justly, if they themselves were detected in indulging an insatiable avidity by partaking of animals that are allied to us? For through the communion of life and the same elements, and the mixture subsisting from these, they are as it were conjoined to us by a fraternal alliance. He permitted, however, others whose life was not entirely purified, sacred and philosophic, to eat of certain animals; and for these he appointed a definite time of abstinence. These therefore, he ordered not to eat the heart, nor the brain; and from the eating of these he entirely prohibited all the Pythagoreans. For these parts are of a ruling nature, and are as it were certain ladders and seats of wisdom and life. But other[25] things were considered by him as sacred on account of the nature of a divine reason. Thus he exhorted his disciples to abstain from mallows, because this plant is the first messenger and signal of the sympathy of celestial with terrestrial natures. Thus, too, he ordered them to abstain from the fish melanurus; for it is sacred to the terrestrial Gods. And also not to receive the fish erythinus, through other such like causes. He likewise exhorted them to abstain from beans, on account of many sacred and physical causes, and also such causes as pertain to the soul. And he established as laws other precepts similar to these, beginning through nutriment to lead men to virtue.

CHAP. XXV.

Pythagoras was likewise of opinion that music contributed greatly to health, if it was used in an appropriate manner. For he was accustomed to employ a purification of this kind, but not in a careless way. And he called the medicine which is obtained through music by the name of purification. But he employed such a melody as this about the vernal season. For he placed in the middle a certain person who played on the lyre, and seated in a circle round him those who were able to sing. And thus, when the person in the centre struck the lyre, those that surrounded him sung certain pæans, through which they were seen to be delighted, and to become elegant and orderly in their manners. But at another time they used music in the place of medicine. And there are certain melodies devised as remedies against the passions of the soul, and also against despondency and lamentation,[26] which Pythagoras invented as things that afford the greatest assistance in these maladies. And again, he employed other melodies against rage and anger, and against every aberration of the soul. There is also another kind of modulation invented as a remedy against desires. He likewise used dancing; but employed the lyre as an instrument for this purpose. For he conceived that the pipe was calculated to excite insolence, was a theatrical instrument, and had by no means a liberal sound.[27] Select verses also of Homer and Hesiod were used by him, for the purpose of correcting the soul. Among the deeds of Pythagoras likewise, it is said, that once through the spondaic song of a piper, he extinguished the rage of a Tauromenian lad, who had been feasting by night, and intended to burn the vestibule of his mistress, in consequence of seeing her coming from the house of his rival. For the lad was inflamed and excited [to this rash attempt] by a Phrygian song; which however Pythagoras most rapidly suppressed. But Pythagoras, as he was astronomizing, happened to meet with the Phrygian piper at an unseasonable time of night, and persuaded him to change his Phrygian for a spondaic song; through which the fury of the lad being immediately repressed, he returned home in an orderly manner, though a little before this, he could not be in the least restrained, nor would in short, bear any admonition; and even stupidly insulted Pythagoras when he met him. When a certain youth also rushed with a drawn sword on Anchitus, the host of Empedocles, because, being a judge, he had publicly condemned his father to death, and would have slain him as a homicide, Empedocles changed the intention of the youth, by singing to his lyre that verse of Homer,

Nepenthe, without gall, o’er every ill Oblivion spreads;——[28]

and thus snatched his host Anchitus from death, and the youth from the crime of homicide. It is also related that the youth from that time became the most celebrated of the disciples of Pythagoras. Farther still, the whole Pythagoric school produced by certain appropriate songs, what they called _exartysis_ or adaptation, _synarmoge_ or elegance of manners, and _epaphe_ or contact, usefully conducting the dispositions of the soul to passions contrary to those which it before possessed. For when they went to bed they purified the reasoning power from the perturbations and noises to which it had been exposed during the day, by certain odes and peculiar songs, and by this means procured for themselves tranquil sleep, and few and good dreams. But when they rose from bed, they again liberated themselves from the torpor and heaviness of sleep, by songs of another kind. Sometimes, also, by musical sounds alone, unaccompanied with words, they healed the passions of the soul and certain diseases, enchanting, as they say, in reality. And it is probable that from hence this name _epode_, i. e. enchantment, came to be generally used. After this manner, therefore, Pythagoras through music produced the most beneficial correction of human manners and lives.

CHAP. XXVI.

Since, however, we are narrating the wisdom employed by Pythagoras in instructing his disciples, it will not be unappropriate to relate that which is proximate in a following order to this, viz. how he invented the harmonic science, and harmonic ratios. But for this purpose we must begin a little higher. Intently considering once, and reasoning with himself, whether it would be possible to devise a certain instrumental assistance to the hearing, which should be firm and unerring, such as the sight obtains through the compass and the rule, or, by Jupiter, through a dioptric instrument; or such as the touch obtains through the balance, or the contrivance of measures;—thus considering, as he was walking near a brazier’s shop, he heard from a certain divine casualty the hammers beating out a piece of iron on an anvil, and producing sounds that accorded with each other, one combination only excepted. But he recognized in those sounds, the diapason, the diapente, and the diatessaron, harmony. He saw, however, that the sound which was between the diatessaron and the diapente was itself by itself dissonant, yet, nevertheless, gave completion to that which was the greater sound among them. Being delighted, therefore, to find that the thing which he was anxious to discover had succeeded to his wishes by divine assistance, he went into the brazier’s shop, and found by various experiments, that the difference of sound arose from the magnitude of the hammers, but not from the force of the strokes, nor from the figure of the hammers, nor from the transposition of the iron which was beaten. When, therefore, he had accurately examined the weights and the equal counterpoise of the hammers, he returned home, and fixed one stake diagonally to the walls, lest if there were many, a certain difference should arise from this circumstance, or in short, lest the peculiar nature of each of the stakes should cause a suspicion of mutation. Afterwards, from this stake he suspended four chords consisting of the same materials, and of the same magnitude and thickness, and likewise equally twisted. To the extremity of each chord also he tied a weight. And when he had so contrived, that the chords were perfectly equal to each other in length, he afterwards alternately struck two chords at once, and found the before-mentioned symphonies, viz. a different symphony in a different combination. For he discovered that the chord which was stretched by the greatest weight, produced, when compared with that which was stretched by the smallest, the symphony diapason. But the former of these weights was twelve pounds, and the latter six. And, therefore, being in a duple ratio, it exhibited the consonance diapason; which the weights themselves rendered apparent. But again, he found that the chord from which the greatest weight was suspended compared with that from which the weight next to the smallest depended, and which weight was eight pounds, produced the symphony diapente. Hence he discovered that this symphony is in a sesquialter ratio, in which ratio also the weights were to each other. And he found that the chord which was stretched by the greatest weight, produced, when compared with that which was next to it in weight, and was nine pounds, the symphony diatessaron, analogously to the weights. This ratio, therefore, he discovered to be sesquitertian; but that of the chord from which a weight of nine pounds was suspended, to the chord which had the smallest weight [or six pounds,] to be sesquialter. For 9 is to 6 in a sesquialter ratio. In like manner, the chord next to that from which the smallest weight depended, was to that which had the smallest weight, in a sesquitertian ratio, [for it was the ratio of 8 to 6,] but to the chord which had the greatest weight, in a sesquialter ratio [for such is the ratio of 12 to 8.] Hence, that which is between the diapente and the diatessaron, and by which the diapente exceeds the diatessaron, is proved to be in an epogdoan ratio, or that of 9 to 8. But either way it may be proved that the diapason is a system consisting of the diapente in conjunction with the diatessaron, just as the duple ratio consists of the sesquialter and sesquitertian, as for instance, 12, 8, and 6; or conversely, of the diatessaron and the diapente, as in the duple ratio of the sesquitertian and sesquialter ratios, as for instance 12, 9, and 6. After this manner, therefore, and in this order, having conformed both his hand and his hearing to the suspended weights, and having established according to them the ratio of the habitudes, he transferred by an easy artifice the common suspension of the chords from the diagonal stake to the limen of the instrument, which he called _chordotonon_. But he produced by the aid of pegs a tension of the chords analogous to that effected by the weights.

Employing this method, therefore, as a basis, and as it were an infallible rule, he afterwards extended the experiment to various instruments; viz. to the pulsation of patellæ or pans, to pipes and reeds, to monochords, triangles, and the like. And in all these he found an immutable concord with the ratio of numbers. But he denominated the sound which participates of the number 6 _hypate_: that which

## participates of the number 8 and is sesquitertian, _mese_; that which

## participates of the number 9, but is more acute by a tone than mese, he

called _paramese_, and _epogdous_; but that which participates of the dodecad, _nete_. Having also filled up the middle spaces with analogous sounds according to the diatonic genus, he formed an octochord from symphonious numbers, viz. from the double, the sesquialter, the sesquitertian, and from the difference of these, the epogdous. And thus he discovered the [harmonic] progression, which tends by a certain physical necessity from the most grave [i. e. flat] to the most acute sound, according to this diatonic genus. For from the diatonic, he rendered the chromatic and enharmonic genus perspicuous, as we shall some time or other show when we treat of music. This diatonic genus, however, appears to have such physical gradations and progressions as the following; viz. a semitone, a tone, and then a tone; and this is the diatessaron, being a system consisting of two tones, and of what is called a semitone. Afterwards, another tone being assumed, viz. the one which is intermediate, the diapente is produced, which is a system consisting of three tones and a semitone. In the next place to this is the system of a semitone, a tone, and a tone, forming another diatessaron, i. e. another sesquitertian ratio. So that in the more ancient heptachord indeed, all the sounds, from the most grave, which are with respect to each other fourths, produce every where with each other the symphony diatessaron; the semitone receiving by transition, the first, middle, and third place, according to the tetrachord. In the Pythagoric octachord, however, which by conjunction is a system of the tetrachord and pentachord, but if disjoined is a system of two tetrachords separated from each other, the progression is from the most grave sound. Hence all the sounds that are by their distance from each other fifths, produce with each other the symphony diapente; the semitone successively proceeding into four places, viz. the first, second, third, and fourth. After this manner, therefore, it is said that music was discovered by Pythagoras. And having reduced it to a system, he delivered it to his disciples as subservient to every thing that is most beautiful.[29]

CHAP. XXVII.

Many also of the political actions of his followers are [deservedly] praised. For it is reported that the Crotonians being once impelled to make sumptuous funerals and interments, some one of them said to the people, that he had heard Pythagoras when he was discoursing about divine natures observe, that the Olympian Gods attended to the dispositions of those that sacrificed, and not to the multitude of the sacrifices; but that, on the contrary, the terrestrial Gods, as being allotted the government of things less important, rejoiced in banquets and lamentations, and farther still, in continual libations, in delicacies, and in celebrating funerals with great expense. Whence, on account of his wish to receive, Pluto is called Hades. He suffers, therefore, those that slenderly honor him to remain for a longer time in the upper world; but he always draws down some one of those who are disposed to spend profusely in funeral solemnities, in order that he may obtain the honors which take place in commemoration of the dead. In consequence of this advice, the Crotonians that heard it were of opinion, that if they conducted themselves moderately in misfortunes, they would preserve their own salvation; but that if they were immoderate in their expenses, they would all of them die prematurely. A certain person also having been made an arbitrator in an affair in which there was no witness, led each of the litigants to a certain monument, and said to one of them, the man who is buried in this monument was transcendently equitable; in consequence of which the other litigant prayed that the dead man might obtain much good; but the former said that the defunct was not at all better for the prayers of his opponent. Pythagoras, therefore, condemned what the former litigant said, but asserted that he who praised the dead man for his worth, had done that which would be of no small importance in his claim to belief. At another time, in a cause of great moment, he decided that one of the two who had agreed to settle the affair by arbitration, should pay four talents, but that the other should receive two. Afterwards, he condemned the defendant to pay three talents; and thus he appeared to have given a talent to each of them. Two persons also had fraudulently deposited a garment with a woman who belonged to a court of justice, and told her she was not to give it to either of them unless both were present. Some time after, for the purpose of circumvention, one of them received the common deposit, and said that it was with the consent of the other. But the other, who had not been present [when the garment was returned], acted the part of a sycophant, and related the compact that was made at the beginning, to the magistrates. A certain Pythagorean, however, taking up the affair said, that the woman had acted conformably to the compact, as both parties had been present. Two other persons also appeared to have a strong friendship for each other, but had fallen into a silent suspicion through a flatterer of one of them, who told him that his wife had been corrupted by the other. It so happened however, that a Pythagorean came into a brazier’s shop, where he who conceived himself to be injured, was showing to the artist a sword which he had given him to sharpen, and was indignant with him because it was not sufficiently sharp. The Pythagorean, therefore, suspecting that the sword was intended to be used against him who was accused of adultery, said, This sword is sharper than all things except calumny. This being said, caused the man to consider with himself [what it was he intended to do], and not rashly to sin against his friend who was within, and who had been previously called [by him in order that he might kill him]. A zone also that had golden ornaments having fallen [at the feet] of a certain stranger in the temple of Esculapius, and the laws forbidding any one to take up that which had fallen on the ground, a Pythagorean advised the stranger, who was indignant at this prohibition, to take away the golden ornaments which had not fallen to the ground, but to leave the zone, because this was on the ground.[30] That circumstance, likewise, which by the ignorant is transferred to other places, is said to have happened in Crotona, viz. that during a public spectacle, some cranes flew over the theatre, and one of those who had sailed into the port, said to the person who sat near him, Do you see the witnesses? which being heard by a certain Pythagorean, he brought them into the court, consisting of a thousand magistrates, where being examined, it was found that they had thrown certain boys into the sea, and that they called the cranes who flew over the ship [at the time,] witnesses of the deed. When likewise certain persons who had recently become disciples of Pythagoras were at variance with each other, he who was the junior of the two came to the other and said to him, that there was no occasion to refer the affair to a third person, but that it rested with them to commit their anger to oblivion. He, therefore, to whom these words were addressed, replied that he was very much pleased in other respects with what had been said, but that he was ashamed that, being the elder, he had not first said the same thing to the other [who was the junior]. We might here also narrate what is said of Phinthias and Damon,[31] of Plato and Archytas, and likewise of Clinias and Prorus.[32] Omitting, however, these [for the present], we shall mention what is related of Eubulus the Messenian, who when he was sailing homeward, and was taken captive by the Tyrrhenians, was recognized by Nausitheus a Tyrrhenian and also a Pythagorean, because he was one of the disciples of Pythagoras, and was taken by him from the pirates, and brought with great safety to Messena. When the Carthaginians, also, were about to send more than five thousand soldiers into a desert island, Miltiades the Carthaginian, perceiving among them the Argive Possiden (both of them being Pythagoreans), went to him, and not manifesting what he intended to do, advised him to return to his native country, with all possible celerity, and having placed him in a ship that was then sailing near the shore, supplied him with what was necessary for his voyage, and thus saved the man from the dangers [to which he was exposed]. In short, he who should relate all that has taken place among the Pythagoreans in their associations with each other, would by the length of his narration exceed the proper quantity and the occasion of his treatise.